Q: What are the factor combinations of the number 27,663,725?

 A:
Positive:   1 x 276637255 x 553274525 x 110654941 x 674725137 x 201925197 x 140425205 x 134945685 x 40385985 x 280851025 x 269893425 x 80774925 x 5617
Negative: -1 x -27663725-5 x -5532745-25 x -1106549-41 x -674725-137 x -201925-197 x -140425-205 x -134945-685 x -40385-985 x -28085-1025 x -26989-3425 x -8077-4925 x -5617


How do I find the factor combinations of the number 27,663,725?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 27,663,725, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 27,663,725
-1 -27,663,725

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,663,725.

Example:
1 x 27,663,725 = 27,663,725
and
-1 x -27,663,725 = 27,663,725
Notice both answers equal 27,663,725

With that explanation out of the way, let's continue. Next, we take the number 27,663,725 and divide it by 2:

27,663,725 ÷ 2 = 13,831,862.5

If the quotient is a whole number, then 2 and 13,831,862.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,663,725
-1 -27,663,725

Now, we try dividing 27,663,725 by 3:

27,663,725 ÷ 3 = 9,221,241.6667

If the quotient is a whole number, then 3 and 9,221,241.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,663,725
-1 -27,663,725

Let's try dividing by 4:

27,663,725 ÷ 4 = 6,915,931.25

If the quotient is a whole number, then 4 and 6,915,931.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,663,725
-1 27,663,725
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1525411371972056859851,0253,4254,9255,6178,07726,98928,08540,385134,945140,425201,925674,7251,106,5495,532,74527,663,725
-1-5-25-41-137-197-205-685-985-1,025-3,425-4,925-5,617-8,077-26,989-28,085-40,385-134,945-140,425-201,925-674,725-1,106,549-5,532,745-27,663,725

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